DocumentCode
2052816
Title
Asymptotic behavior of normalized linear complexity of ultimately non-periodic binary sequences
Author
Dai, Zongduo ; Jiang, Shaoquan ; Imamura, Kyoki ; Gong, Guang
Author_Institution
Grad. Sch., Chinese Acad. of Sci., Beijing, China
fYear
2004
fDate
27 June-2 July 2004
Firstpage
123
Abstract
This paper describes the asymptotic behavior of normalized linear complexity of ultimately nonperiodic binary sequence. The linear complexity of sn, Ls(n), is defined as the length of the shortest linear feedback shift register which generates sn. The research method and results studied in this paper seem to be very useful in characterizing the purely random sequence and distinguishing a key stream generator from a uniformly random sequence.
Keywords
binary sequences; computational complexity; random sequences; asymptotic behavior; key stream generator; linear feedback shift register; normalized linear complexity; random sequence; ultimately nonperiodic binary sequence; Algorithm design and analysis; Binary sequences; Character generation; Content addressable storage; Cryptography; Galois fields; Information theory; Length measurement; Linear feedback shift registers; Random sequences;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory, 2004. ISIT 2004. Proceedings. International Symposium on
Print_ISBN
0-7803-8280-3
Type
conf
DOI
10.1109/ISIT.2004.1365159
Filename
1365159
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